Comparison of Some Iterative Schemes for Solution of Nonlinear Equations

Abstract

The aim of the paper is to determine the best method for solving non-linear equations. We compare three different methods of solving non-linear equations. We used an iterative method to solve nonlinear equations since some nonlinear equations cannot be solved in finite number of steps. Solving the nonlinear equation problems depends on both the cost per iteration and the number of iterations required. We provided illustrative examples to compare the results of all three methods. The results were collected, tabulated, and analyzed in terms of errors, convergence and computational time which imply that the higher the rate of convergence the fastest it will get to approximate root or solution of the equation. The result of the comparison reveals that Muller’s method is the best method of solving the nonlinear equation f(x) = 0 containing one variable because of its high rate of convergence and less computations of time.